219512641089681 has 27 divisors (see below), whose sum is σ = 336823516437681. Its totient is φ = 137732947749504.

The previous prime is 219512641089593. The next prime is 219512641089769. The reversal of 219512641089681 is 186980146215912.

The square root of 219512641089681 is 14815959.

It is a perfect power (a square), and thus also a powerful number.

219512641089681 is a `hidden beast` number, since 2 + 1 + 9 + 5 + 126 + 410 + 8 + 96 + 8 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (219512641089593) and next prime (219512641089769).

It can be written as a sum of positive squares in 4 ways, for example, as 74977328513025 + 144535312576656 = 8658945^2 + 12022284^2 .

It is not a de Polignac number, because 219512641089681 - 2⁹ = 219512641089169 is a prime.

It is a super-2 number, since 2×219512641089681² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (219512641085681) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 755468655 + ... + 755759163.

Almost surely, 2^{219512641089681} is an apocalyptic number.

219512641089681 is the 14815959-th square number.

219512641089681 is the 7407980-th centered octagonal number.

It is an amenable number.

219512641089681 is a deficient number, since it is larger than the sum of its proper divisors (117310875348000).

219512641089681 is an frugal number, since it uses more digits than its factorization.

219512641089681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581058 (or 290529 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 63.

The spelling of 219512641089681 in words is "two hundred nineteen trillion, five hundred twelve billion, six hundred forty-one million, eighty-nine thousand, six hundred eighty-one".